Absolutely! Let’s solve each of these
Perimeter Word Problems step by step. I’ll explain the concept of perimeter, then solve each problem with a clear explanation and final answer.
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📌 What is Perimeter?
>
Perimeter is the total distance around the outside of a 2D shape.
>
> - For a
rectangle:
> `Perimeter = 2 × (Length + Width)`
>
> - For a
square:
> `Perimeter = 4 × Side`
> *(since all sides are equal)*
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##
✔ Problem 1:
>
Patrick has a rectangular picture that he wants to make a frame for. The length is 7 inches and the width is 5 inches. What is the perimeter of the picture frame?
Solution:
Use rectangle perimeter formula:
`P = 2 × (L + W)`
`P = 2 × (7 + 5)`
`P = 2 × 12`
`P = 24 inches`
✔ Answer: 24 inches
*(You can draw a rectangle labeled 7" long and 5" wide.)*
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##
✔ Problem 2:
>
Amy would like to build a fence around her garden to keep the animals out. If she has a square garden and each side is 3 yards, what is the perimeter of the garden?
Solution:
Use square perimeter formula:
`P = 4 × Side`
`P = 4 × 3`
`P = 12 yards`
✔ Answer: 12 yards
*(Draw a square with each side labeled “3 yards”.)*
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##
✔ Problem 3:
>
Karen likes to go for a walk each morning around the lake. It is shaped like a rectangle with a length of 30 meters and a width of 20 meters. How many meters does she walk around the lake?
Solution:
This is asking for the perimeter of the rectangular lake.
`P = 2 × (L + W)`
`P = 2 × (30 + 20)`
`P = 2 × 50`
`P = 100 meters`
✔ Answer: 100 meters
*(Draw a rectangle labeled 30m by 20m.)*
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##
✔ Problem 4:
>
Mr. Connor wrapped a present and wanted to put a ribbon around the outside of the box. It has four sides and each side is 6 cm long. How much ribbon does he need?
Solution:
Since it has 4 equal sides → it’s a
square.
`P = 4 × Side`
`P = 4 × 6`
`P = 24 cm`
✔ Answer: 24 cm
*(Draw a square with each side labeled “6 cm”.)*
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##
✔ Problem 5:
>
John’s Dad wants to build a square sandbox in the backyard. He is going to use wood for the sides. Each side is 4 yards long. How much wood does he need?
Solution:
Again, square → 4 equal sides.
`P = 4 × Side`
`P = 4 × 4`
`P = 16 yards`
✔ Answer: 16 yards
*(Draw a square labeled “4 yards” per side.)*
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##
✔ Problem 6:
>
The field needs a new wooden fence around it. The length is 50 feet and the width is 25 feet. What is the perimeter of the field?
Solution:
Rectangle → use `P = 2 × (L + W)`
`P = 2 × (50 + 25)`
`P = 2 × 75`
`P = 150 feet`
✔ Answer: 150 feet
*(Draw a rectangle labeled 50 ft by 25 ft.)*
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## 🎯 Final Answers Summary:
| Problem | Answer |
|---------|----------------|
| 1 | 24 inches |
| 2 | 12 yards |
| 3 | 100 meters |
| 4 | 24 cm |
| 5 | 16 yards |
| 6 | 150 feet |
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📌
Tip for Students: Always sketch the shape and label the sides. This helps visualize the problem and avoid mistakes!
Let me know if you’d like printable versions or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of area and perimeter word problems worksheet.